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The Shooting Method and Nonhomogeneous Multipoint BVPs of Second-Order ODE

Boundary Value Problems volume 2007, Article number: 064012 (2007) Cite this article

Abstract

In a recent paper, Sun et al. (2007) studied the existence of positive solutions of nonhomogeneous multipoint boundary value problems for a second-order differential equation. It is the purpose of this paper to show that the shooting method approach proposed in the recent paper by the first author can be extended to treat this more general problem.

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Authors and Affiliations

  1. Lucent Technologies Inc., Lisle, IL, 60532, USA

    Man Kam Kwong

  2. Department of Mathematics, Statistics, Computer Science, University of Illinois at Chicago, Chicago, IL, 60607-7045, USA

    Man Kam Kwong

  3. Department of Mathematics, The University of Hong Kong, Pokfulam, Hong Kong

    James SW Wong

  4. Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong

    James SW Wong

  5. Chinney Investments Ltd., Hong Kong

    James SW Wong

Authors
  1. Man Kam Kwong
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  2. James SW Wong
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Correspondence to Man Kam Kwong.

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Kwong, M.K., Wong, J.S. The Shooting Method and Nonhomogeneous Multipoint BVPs of Second-Order ODE. Bound Value Probl 2007, 064012 (2007). https://doi.org/10.1155/2007/64012

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  • DOI: https://doi.org/10.1155/2007/64012

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • General Problem